Rinse the fennel and discard green leaves, stalk and bottom root. Halve it and thinly slice it crosswise.
Peel oranges removing carefully all the outer white flesh. Halve them and slice them crosswise into 1/4" thick slices.
(Optional) halve olives to remove kernels.
Chop mint into thin strips.
In a salad bowl toss fennel, oranges, olives, and dress with mint, olive oil, chilli pepper and a little salt. If you prepare it in advance, dress the salad just immediately before serving it.
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